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Finding the Fourth Proportional to 272.18, 375.35 and 209.91

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Solution

The fourth proportional to 272.18, 375.35 and 209.91 is: 289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.18 : 375.35 = 209.91 : x
  2. Step 2: Convert to fraction form
    272.18/375.35 = 209.91/x
  3. Step 3: Cross multiply
    272.18x = 375.35 × 209.91
  4. Step 4: Simplify right side
    272.18x = 78,790.79
  5. Step 5: Solve for x
    x = 78,790.79/272.18
  6. Step 6: Final answer
    x = 289.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.